【專題演講】2024-01-11 13:40-14:30 History of QR algorithm and Lie extensions

數學跨領域研究中心 2024年專題演講
DATE
2024-01-11 13:40-14:30
PLACE
數學館3F會議室
SPEAKER
Professor Tin-Yau Tam, Department of Mathematics and Statistics, University of Nevada, Reno
TITLE
 History of QR algorithm and Lie extensions
ABESTRACT
We will discuss the following algorithms, their history, and their extensions in Lie group:
(a) Francis-Kublanovskaya’s QR algorithm.
(b) Rutishauser’s LR algorithm.
These results are related to several important matrix decompositions, namely, SVD, QR decomposition, Gelfand-Naimark decomposition, LU decomposition, Jordan decomposition and their Lie counterparts: Cartan decomposition, Iwasawa decomposition, Bruhat decomposition, complete multiplicative Jordan decomposition.
SPONSOR
國立成功大學數學系、國立成功大學數學跨領域研究中心